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Finding the Fourth Proportional to 19,876, 29,815.04 and 5,085.05

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Solution

The fourth proportional to 19,876, 29,815.04 and 5,085.05 is: 7,627.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876 : 29,815.04 = 5,085.05 : x
  2. Step 2: Convert to fraction form
    19,876/29,815.04 = 5,085.05/x
  3. Step 3: Cross multiply
    19,876x = 29,815.04 × 5,085.05
  4. Step 4: Simplify right side
    19,876x = 151,610,969.15
  5. Step 5: Solve for x
    x = 151,610,969.15/19,876
  6. Step 6: Final answer
    x = 7,627.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.